Effects of Arctic stratospheric ozone changes on spring precipitation in the northwestern United States

State Key Laboratory of Earth Surface Processes and Resource Ecology and College of Global Change and Earth System Science, Beijing Normal University, Beijing, China Laboratory for Regional Oceanography and Numerical Modeling, Qingdao National Laboratory for Marine Science and Technology, Qingdao, China College of Atmospheric Sciences, Lanzhou University, Lanzhou, China State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, China

by affecting localized wind patterns and associated thermal advection (Son et al., 2010;Thompson et al., 2011;Feldstein, 2011). Subsequent studies concluded that Antarctic ozone depletion is responsible for at least 50 % of the circulation shift (Lu et al., 2009;Son et al., 2010;McLandress et al., 2011;Polvani et al., 2011;Hu et al., 2013;Gerber and Son, 2014;Waugh et al., 2015). In addition, the poleward displacement of the westerly jet has been linked to an extension of the Hadley cell (Son et al., 2009(Son et al., , 2010Min and Son, 2013) and variations in mid-to high-latitude precipitation during austral summer, i.e., increased rainfall in the subtropics and high latitudes and reduced rainfall in the midlatitudes of the Southern Hemisphere (Son et al., 2009;Feldstein, 2011;Kang et al., 2011;Polvani et al., 2011). The changes in Antarctic ozone are not only related to the displacement of the westerly jet in the Southern Hemisphere but also affect its intensity. Thompson and Solomon (2002) argued that Antarctic ozone depletion can also enhance westerly winds via the strong radiative cooling effect and thermal wind relationship. The westerly winds are enhanced from the stratosphere to the midlatitude troposphere in the case of wave-mean flow interaction (Son et al., 2010;Thompson et al., 2011), thereby accelerating circumpolar currents in the midlatitudes. Moreover, changes in subtropical drought, storm tracks and ocean circulation in the Southern Hemisphere are also closely related to Antarctic ozone variations (Yin, 2005;Russell et al., 2006;Son et al., 2009;Bitz and Polvani, 2012).
The variations in Arctic stratospheric ozone (ASO) in the past 5 decades are quite different from those of Antarctic stratospheric ozone, as the multi-decadal loss of ASO is much smaller than that of Antarctic stratospheric ozone (WMO, 2011). However, sudden stratospheric warming in the Arctic (Randel, 1988;Charlton and Polvani, 2007;Manney et al., 2011;Manney and Lawrence, 2016) means that the year-to-year variability in ASO has an amplitude equal to or even larger than that of Antarctic stratospheric ozone. Thus, the effect of ASO on Northern Hemisphere climate change has also become a matter of concern.
Similar to the effects of winter stratospheric dynamical processes on the tropospheric North Atlantic Oscillation and the incidence of extreme weather events (Baldwin and Dunkerton, 2001;Black et al., 2005Black et al., , 2006Black et al., , 2009, the depletion of spring ASO can cause circulation anomalies that influence the tropospheric North Atlantic and North Pacific sectors. Cheung et al. (2014) used the UK Met Office operational weather forecasting system, and Karpechko et al. (2014) used ECHAM5 simulations to investigate the relationship between extreme Arctic ozone anomalies in 2011 and tropospheric climate. Smith and Polvani (2014) used an atmospheric global climate model to reveal a significant influence of ASO changes on tropospheric circulation, surface temperature and precipitation when the amplitudes of the forcing ASO anomaly in the model are larger than those historically observed. Subsequently, using a fully coupled Figure 1. Correlation coefficients between March ASO and April precipitation variations calculated from SWOOSH (a, b) and GOZ-CARDS (c, d) ozone, and GPCC (a, c) and GPCP (b, d) rainfall for the period 1984-2016. Dots denote significance at the 95 % confidence level, according to Student's t test. The long-term linear trend and seasonal cycle in all variables were removed before the correlation analysis. chemistry-climate model, Calvo et al. (2015) again confirmed that changes in ASO can produce robust anomalies in Northern Hemisphere temperature, wind and precipitation. Furthermore, the effects of ASO on the Northern Hemisphere climate can be seen in observations. Ivy et al. (2017) presented observational evidence for the relationship between ASO and tropospheric climate, revealing that the maximum daily surface temperature anomalies in spring (March-April) in some regions of the Northern Hemisphere occurred during years with low ASO in March. Xie et al. (2016Xie et al. ( , 2017a demonstrated that the tropical climate can also be affected by ASO. They pointed out that stratospheric circulation anomalies caused by March ASO changes can rapidly extend to the lower troposphere and then propagate horizontally to the North Pacific in about 1 month, influencing the North Pacific sea surface temperature (SST) in April. The induced SST anomalies (Victoria Mode) associated with the circulation anomalies can influence El Niño-Southern Oscillation (ENSO) and tropical rainfall over a timescale of ∼ 20 months.
As shown above, a large number of observations and simulations have shown that ASO variations have a significant impact on Northern Hemisphere tropospheric climate, but few studies have focused on regional characteristics.  found that the ASO variations could significantly influence rainfall in the central China, since the circulation anomalies over the North Pacific caused by ASO variations can extend westward to China. This motivates us to investigate whether the circulation anomalies extend eastward to affect the precipitation in North America. In this study, we find a strong link between ASO and precipitation in the north- western US in spring. We focus on analyzing the characteristics of the impact of ASO on precipitation in the northwestern US in spring and the associated mechanisms. The remainder of this paper is organized as follows. Section 2 describes the data and numerical simulations, and Sect. 3 discusses the relationship between the ASO anomalies and precipitation variations in the northwestern US, as well as the underlying mechanisms. The results of simulations are presented in Sect. 4, and conclusions are given in Sect. 5.

Data and simulations
The ASO variations are defined as the Arctic stratospheric ozone averaged over the latitude of 60-90 • N at an altitude of 100-50 hPa after removing the seasonal cycle and trend. Ozone values used in the present analysis are derived from the Stratospheric Water and OzOne Satellite Homogenized (SWOOSH) dataset (Davis et al., 2016), which is a collection of stratospheric ozone and water vapor measurements obtained by multiple limb-sounding and solar-occultation satellites over the previous 30 years. Monthly mean ozone data from SWOOSH (1984-2016) form a zonal-mean gridded dataset at a horizontal resolution of 2.5 • (latitude: 89 • S to 89 • N) and vertical pressure range of 31 levels from 316 to 1 hPa. Another set of ozone data is taken from Global OZone Chemistry And Related trace gas data records for the Stratosphere (GOZCARDS, 1984(GOZCARDS, -2013 project (Froidevaux et al., 2015), based on high-quality data from past missions (e.g., the Stratospheric Aerosol and Gas Experiment -SAGEand the Halogen Occultation Experiment -HALOE -data) and ongoing missions (ACE-FTS and Aura MLS). It is also a zonal-mean dataset with a meridional resolution of 10 • , extending from the surface to 0.1 hPa (25 levels). In addition, two sets of global precipitation reanalysis datasets are employed in this study: monthly mean precipitation data constructed by the Global Precipitation Climatology Project (GPCP), which is established by the World Climate Research program (WCRP) in 1986 aiming to observe and estimate the spatial and temporal global precipitation (Huffman et al., 1997), with a latitude and longitude grid with a resolution of 2.5 • for the analysis period 1984-2016; global terrestrial rainfall dataset derived from the Global Precipitation Climatology Centre (GPCC) based on quality-controlled data from 67 200 stations worldwide, with a resolution of 1.0 • latitude/longitude grid. In addition, SST is taken from the UK Met Office Hadley Centre for Climate Prediction and Research SST (HadSST; Rayner et al., 2003). Other atmospheric datasets including monthly mean wind and vertical velocity fields for the period 1984-2016 are obtained from the NCEP -Department of Energy (DOE) Reanalysis 2 (NCEP-2) project, regarded as an updated NCEP and National Center for Atmospheric Research's (NCAR) Reanalysis Project (NCEP-1).
We use the Whole Atmosphere Community Climate Model version 4 (WACCM4), a part of the National Center for Atmospheric Research (NCAR) Community Earth System Model (CESM), version 1.0.6, to investigate precipitation response in the northwestern United States to the ASO anomalies. WACCM4 encompasses the Community Atmospheric Model version 4 (CAM4) and as such includes all of its physical parameterizations (Neale et al., 2013). It uses a system made up of four components, namely atmosphere, ocean (specified SST), land and sea ice (Holland et al., 2012) and has detailed mid-atmosphere chemistry. This improved version of WACCM uses a finite-volume dynamical core, and it extends from the surface to an approximately 145 km geometric altitude (66 levels), with a vertical resolution of about 1 km in the tropical tropopause layer and the lower stratosphere. Note that the simulations in the present paper are without interactive chemistry like the WACCM4 greenhouse-gas (GHG) scheme (WACCM4-GHG; Garcia et al., 2007), with a 1.9 • × 2.5 • horizontal resolution. In the WACCM4-GHG, the chemistry is specified in this scheme, i.e., the volume mixing ratios of forcings such as O 3 , CO 2 , CH 4 , N 2 O, CFC11 and CFC12 are prescribed in WACCM4-GHG (Marsh et al., 2013). The model's radiation scheme uses these conditions: fixed GHG values (averages of emissions scenario A2 of the Intergovernmental Panel on Climate Change -WMO, 2003-over the period 1995-2005. The prescribed ozone forcing used in the experiments is a 12-month seasonal cycle averaged over the period 1995-2005 from CMIP5 ensemble mean ozone output. The quasibiennial oscillation (QBO) phase signals with a 28-month fixed cycle are included in WACCM4 as an external forcing for zonal wind.
Seven time-slice experiments (R1-R7) and a transient experiment with specified ozone (R8) are designed to investigate the precipitation changes in the northwestern US due to the ASO anomalies. Details of the eight experiments are given in Table 1. Seven time-slice experiments (R1-R7) are run for 33 years, with the first 3 years excluded for the model spin-up, and only the last 30 years are used. The transient experiment (R8) is run for 51 years.

Response of precipitation in the northwestern US to ASO anomalies in spring
Since the variations in ASO are most obvious in March due to the Arctic polar vortex breakdown (Manney et al., 2011), previous studies have reported that the ASO changes in March have the strongest influence on the Northern Hemisphere (Ivy et al., 2017;Xie et al., 2017a). In addition, these studies pointed out that the changes in ASO affect the tropospheric climate with a lead of about 1-2 months, which is similar to the troposphere response to the Northern Hemisphere sudden stratospheric warmings (Baldwin and Dunkerton, 2001;Black et al., 2005Black et al., , 2006Black et al., , 2009 and Southern Hemisphere stratospheric ozone depletion (Thompson and Solomon 2002); the relevant mechanisms have been investigated in detail by Xie et al. (2017a). In Fig. 1, we therefore show the correlation coefficients between ASO variations in  Table 2.
March from SWOOSH and GOZCARDS data and precipitation anomalies in April from GPCC and GPCP data over western North America. In all cases in Fig. 1, the March ASO changes are significantly anticorrelated with April precipitation anomalies in the northwestern US (mainly in Washington and Oregon), implying that positive spring ASO anoma-  lies are associated with less spring precipitation in the northwestern US and vice versa for the negative spring ASO anomalies. Note that since this kind of feature appears in the northwestern US, Fig. 1 shows only the western side of North America. The correlation coefficients between March ASO variations and precipitation anomalies (January to December are in the same year) in the northwestern US are shown in Fig. 2. The correlation coefficients between March ASO variations and April precipitation anomalies in the northwestern US are the largest and are significant at the 95 % confidence level. Note that the correlation coefficients between March ASO variations and July precipitation anomalies are also significant. The impact of March ASO on precipitation in the northwestern US in summer and the associated mechanisms are different from those considered in this study (not shown) and will be presented in another paper but will not be investigated  Table 1. further here. March ASO changes are not significantly correlated with simultaneous (March) precipitation variations (Fig. 2), illustrating that the ASO changes lead precipitation anomalies by about 1 month. Since the results from four sets of observations show a common feature, and SWOOSH and GPCP data span a longer period, only SWOOSH ozone and GPCP precipitation are used in the following analysis.
The above statistical analysis shows a strong negative correlation between March ASO variations and April precipitation anomalies in the northwestern US, meaning that the ASO can be used to predict changes in spring precipitation in the northwestern US. The process and underlying mechanism that are responsible for the impact of ASO anomalies on precipitation changes need further analysis. Figure 3 shows the correlation coefficients between March ASO anomalies and April zonal wind variations at 200, 500 and 850 hPa, respectively. The spatial distribution of significant correlation coefficients over the North Pacific exhibits a tripolar mode with a zonal distribution at 200 and 500 hPa; i.e. a positive correlation in the high and low latitudes in the North Pacific and a negative correlation in midlatitudes. This implies that the increase in ASO can result in enhanced westerlies in the high and low latitudes of the North Pacific but weakened westerlies in the midlatitudes, corresponding to the weakened Aleutian Low in April and vice versa for the decrease in ASO. The Aleutian Low acts as a bridge connecting variations in ASO and circulation anomalies over the North Pacific (Xie et al., 2017a). At 850 hPa, the anomalous circulation signal in the low latitudes of the North Pacific has weakened and disappeared. It is evident that the anomalous changes in the zonal wind over the North Pacific can extend westward to East Asia. Xie et al. (2018) identified the effect of spring ASO changes on spring precipitation in China. Note that the weakened westerlies in the midlatitudes and the enhanced westerlies at low latitudes can also extend eastward to the western United States. This kind of circulation anomaly corresponds to two barotropic structures, i.e., an anomalous anticyclone in the Northeast Pacific and a cyclone in the southwestern United States at 500 and 200 hPa. Coincidentally, the northwestern United States is located to the north of the intersection of the anticyclone and cyclone, corresponding to convergence of the airflow at high levels, which may lead to downwelling in the northwestern United States and vice versa for negative March ASO anomalies.
To further validate our inference regarding the response of the circulation in the western United States to ASO changes, we analyze the differences between April horizontal wind anomalies during positive and negative March ASO anomaly events at 200, 500 and 850 hPa (Fig. 4). As in the increased ASO case, the difference shows an anomalous anticyclone in the Northeast Pacific and an anomalous cyclone in the southwestern United States. The climatological wind over the northwestern United States blows from west to east, bringing moisture from the Pacific to the western United States. Such circulation anomalies force an anomalous cyclone in the western United States in the middle and upper tropo- sphere, which reduces the climatological wind. It would decrease the water vapor concentration in the air over the northwestern United States. In addition, the northwestern United States is located to the north of the intersection of the anticyclone and cyclone, suggesting downwelling flow in the region. Figure 5a shows a longitude-latitude cross section of differences in April vertical velocity anomalies averaged over 1000-500 hPa between positive and negative March ASO anomaly events. When the March ASO increases, anoma-lous downwelling is found in the northwestern United States (115-130 • W). This situation may inhibit precipitation in the northwestern United States in April. Figure 5b depicts the longitude-height cross section of differences in April vertical velocity averaged over 43-50 • N between positive and negative March ASO anomaly events, which further shows an anomalous downwelling over the northwestern United States when the ASO increases. Based on the above analysis, the circulation anomalies in the northwestern United States associated with positive March ASO anomalies may inhibit the formation of local precipitation in April and vice versa for that with negative March ASO anomalies.

Simulations of the effect of ASO variations on precipitation in the northwestern US during spring
Using observations and reanalysis data, we investigated the relationship between March ASO and April precipitation in the northwestern US and revealed the underlying mechanisms in Sect. 3. In this section, we use WACCM4 simulations (see Sect. 2) to confirm the above conclusions. First, we check the model performance in simulating precipitation over western North America. Figure 6 shows the April precipitation climatology over the region 95-140 • W, 30-63 • N from the control experiment R1 (Table 1) and from GPCP for the period 1995-2005. The model simulates a center of high precipitation over the West Coast of North America (Fig. 6a). It is clear that the spatial distribution of the simulated precipitation climatology is similar to that calculated by GPCP (Fig. 6b). Figure 7a displays the differences in April precipitation between experiments R3 and R2. The pattern of simulated April precipitation anomalies forced by ASO changes in western North America (Fig. 7a) is different from that observed ( Fig. 1), i.e., the increased March ASO forces an increase in precipitation in the northwestern United States. The differences in April zonal wind at 200, 500 and 850 hPa between experiments R3 and R2 are shown in Fig. 7b, c and d, respectively. The simulated pattern of April zonal wind anomalies in western North America (Fig. 7b, c and d) shifted a little further to the north than in the observations (Fig. 3). Comparing the global pattern of simulated April zonal wind anomalies with the observations, it is surprising to find that the positions of simulated zonal wind anomalies over the Northeast Pacific and western North America are shifted northward. This results in the simulated precipitation anomalies over western North America also shifting northward so that a decrease in precipitation on the western coast of Canada in April is found in Fig. 7a. This explains why we find that the pattern of simulated April precipitation anomalies in the North America (Fig. 7a) is nearly opposite to that observed (Fig. 1). Figure 7 shows that the results of the model simulation in which we only change the ASO forcing do not reflect the real situation of April precipitation anomalies in Previous studies have found that the North Pacific SST has a significant effect on precipitation in the United States (e.g., Namias, 1983;Ting and Wang, 1997;Wang and Ting, 2000;Barlow et al., 2001;Lau et al., 2002;Wang et al., 2014). Figure 8a shows the correlation coefficients between regional averaged (43-50 • N, 115-130 • W) precipitation anomalies and SST variations in April. Interestingly, the results show that the distribution of correlation coefficients over the North Pacific has a meridional tripole structure, which is referred to as the Victoria-mode SST anomaly pattern. Xie et al. (2017a) demonstrated that the ASO has a lagged impact on the sea surface temperature in the North Pacific mid-to-high latitudes based on observation and simulation. They showed that stratospheric circulation anomalies caused by ASO changes can rapidly extend to the lower troposphere in the high latitudes of the Northern Hemisphere. The circulation anomalies in the high latitudes of the lower troposphere take about a month to propagate to the North Pacific midlatitudes and then influence the North Pacific SST. Figure 8b shows the correlation coefficients between March ASO (multiplied by −1) and April SST variations. The pattern in Fig. 8b is in good agreement with that in Fig. 8a. It is further found that removing the Victoria-mode signal from the time series of precipitation in the northwestern United States reduces Figure 10. Same as Fig. 7, but for the difference between experiments R5 and R4. Figure 11. Same as Fig. 7, but for the difference between experiments R7 and R6. the correlation coefficient between March ASO anomalies and filtered April precipitation variations in the northwestern United States to −0.40 (the correlation coefficient is −0.55 for the original time series; see Fig. 2), but it remains significant. Figure 8 indicates that the ASO possibly influences precipitation anomalies in the northwestern United States in two ways. First, the stratospheric circulation anomalies caused by the ASO changes can propagate downward to the North Pacific troposphere and eastward to influence precipitation over northwestern United States. Second, the ASO changes generate SST anomalies over the North Pacific that act as a bridge for ASO to affect precipitation in the northwestern United States (Xie et al., 2017a). The SST anomalies caused by ASO change likely interact with the direct changes in atmospheric circulation driven by the ASO change to jointly influence precipitation in the northwestern United States. Ex-periments R2 and R3 do not include the effects of SST, which may explain why the results of the model simulation in which we only change the ASO forcing do not reflect the observed precipitation anomalies in the northwestern United States (Fig. 7).
Two sets of experiments (R4 and R5) that include the joint effects of ASO and SST changes (Fig. 9) are added. Details of the experiments are given in Table 1. Figure 10 shows the differences in April precipitation and zonal wind between experiments R5 and R4. It is clear that the simulated changes in precipitation in the northwestern United States (Fig. 10a) are in good agreement with the observed anomalies shown in Fig. 1, i.e., the increase in March ASO forces a decrease in April precipitation in the northwestern United States. In addition, the spatial distributions of simulated zonal wind anomalies (Fig. 10b-d) are consistent with the observations  (Fig. 3). Overall, the simulated precipitation and circulation in R4 and R5 are no longer shifted northward and are closer to the observations.
To further emphasize the importance of the joint effects of ASO and ASO-related SST anomalies on precipitation in the northwestern United States, we investigate whether the spring Victoria-mode-like SST anomalies alone could force the observed precipitation anomalies in the northwest-  1998, 1999, 2001, 2004, 2010 1993, 1995, 1996, 2000, 2011 ern United States. Two sets of experiments are performed here (R6 and R7), in which only April SST anomalies over the North Pacific have been changed (Fig. 9). Details of the experiments are given in Table 1. Figure 11 shows the differences in April precipitation and zonal wind between experiments R7 and R6. The simulated precipitation anomalies over the West Coast of the United States (Fig. 11a) are much weaker, and the simulated circulation anomalies (Fig. 11bd) are quite different from those in Fig. 3. This suggests that the ASO-related North Pacific SST anomalies alone cannot force the observed precipitation anomalies in the northwestern United States but that the combined effect of ASO and ASO-related North Pacific SST anomalies is required (Fig. 10).
In order to further confirm the possible influence of ASO on precipitation in the northwestern United States, a transient experiment  based on the atmosphereocean coupled WACCM4 model is added to confirm whether the ASO can cause the Victoria-mode SST in the North Pacific and rainfall anomalies in the northwestern United States by itself. Note that the ozone forcing in the experiment is specified, which is derived from the CMIP5 ensemble mean ozone output. Please refer to R8 in Table 1 for a detailed description of the experiment. Figure 12 shows the correlation coefficients between the specified March ASO variations and simulated April zonal wind (U) at 500 hPa, SST and precipitation anomalies for the period 1955-2005. The significant and leading effects of the specified ASO anomalies on 500 hPa U, the Victoria mode in the North Pacific and rainfall anomalies in the northwestern United States are well captured (Fig. 12). As the ozone forcing in the experiment is specified, the relationships between ASO and U and SST and precipitation could only be caused by ASO influencing U and then U influencing SST and precipitation; the ASO changes are completely independent of polar vortex. The leading relationship between ASO and precipitation in the northwestern United States can be found in observations, time-slice experiments (R1-7) and a transient experiment with specified ozone (R8). Thus, we have shown that the relationship between March ASO and April precipitation in the northwest-  (d), it is the same as for (a) and (b) but between March ASO and April 200 hPa zonal wind and April precipitation variations. Dots denote significance at the 95 % confidence level, according to the Student's t test. The long-term linear trend and seasonal cycle in all variables were removed before the correlation analysis. The ASO data are from SWOOSH, zonal wind from NCEP-2 and precipitation from GPCP. ern US in the observations and the underlying mechanisms can be verified by WACCM4.

Discussion and summary
Many observations and simulations have shown that ASO variations have a significant impact on Northern Hemisphere tropospheric climate, but few studies have focused on regional characteristics. Using observations, reanalysis datasets and WACCM4, we have shown that the March ASO changes have a significant effect on April precipitation in the northwestern United States (mainly in Washington and Oregon), with a lead of 1-2 months. When the March ASO is anomalously high, April precipitation decreases in the northwestern United States and vice versa for low ASO.
During positive ASO events, the zonal wind changes over the North Pacific exhibit a tripolar mode with a zonal distribution, i.e., enhanced westerlies in the high and low latitudes of the North Pacific and weakened westerlies in the midlatitudes. The anomalous wind can extend eastward to North America, causing anomalous circulation in western North America. The climatological wind over the northwestern United States blows from west to east, bringing moisture from the Pacific to the western United States. Such circulation anomalies force an anomalous cyclone in the western United States in the middle and upper troposphere, which reduces the climatological wind. It would decrease the water vapor concentration in the air over the northwestern United States. At the same time, downwelling in the northwestern US is enhanced. The two processes possibly decrease April precipitation in the northwestern US. When the March ASO decreases, the effect is just the opposite.
The WACCM4 model is used to confirm the statistical results of observations and the reanalysis data. The results of the model simulation in which we only change the ASO forcing do not reflect the observed precipitation anomalies in the northwestern United States in April, i.e., the pattern of simulated April precipitation and circulation anomalies in the western North America shifted a little further to the north than observed. It is found that SST anomalies over North Pacific caused by ASO changes are likely to interact with ASO changes to jointly influence precipitation in the northwestern United States. Thus, the ASO influences precipitation anomalies over the northwestern United States in two ways. First, the stratospheric circulation anomalies caused by the ASO change can propagate downward to the North Pacific troposphere and directly influence precipitation over the northwestern United States. Second, the ASO changes generate SST anomalies over the North Pacific that act as a bridge (Xie et al., 2017a), allowing the ASO changes to affect precipitation in the northwestern United States.
It is well known that the spring ASO variations are related to changes in the winter Arctic stratospheric vortex (SPV). The strength of the winter SPV can affect spring ASO, and then the ASO affects tropospheric teleconnection and precipitation in the northwestern United States (indirect effect of the SPV). The strength of the winter SPV may also have a di-rect leading effect on tropospheric teleconnection (Baldwin and Dunkerton, 2001;Black et al., 2005Black et al., , 2006Black et al., , 2009 and precipitation in the northwestern United States in spring. A question arises here: can the stratospheric polar vortex variability in late winter be a better factor for leading spring precipitation variations in the northwestern United States than the spring ASO anomalies? Figure 13 shows the correlation coefficients between the February SPV (multiplied by −1) index and April 200 hPa zonal wind and precipitation variations ( Fig. 13a and b) and between March ASO and April 200 hPa zonal wind and precipitation ( Fig. 13c and d). The SPV index is defined as the strength of the stratospheric polar vortex, following Zhang et al. (2018). It is found that the relationship between the strength of February SPV and the variations in 200 hPa zonal wind and precipitation is significant ( Fig. 13a and b), indicating indirect or direct effects of winter SPV on spring tropospheric climate. However, the relationship is not stronger than that between March ASO and April 200 hPa zonal wind and precipitation ( Fig. 13c and d). In this study, we try to state that the ASO changes could influence precipitation in the northwestern United States, emphasizing the influence of stratospheric ozone on tropospheric regional climate. As for the effect of coupling between dynamical and radiative processes in spring on precipitation, this is an interesting question that deserves further investigation.
Author contributions. XM and FX designed the study and contributed to data analysis, interpretation and paper writing. JL and XZ contributed to the discussion and interpretation of the paper. WT, RD, CS and JZ contributed to paper writing. All authors reviewed the paper.
Competing interests. The authors declare that they have no conflict of interest.
Special issue statement. This article is part of the special issue "The Polar Stratosphere in a Changing Climate (POLSTRACC) (ACP/AMT inter-journal SI)". It is not associated with a conference.